744804 has 36 divisors (see below), whose sum is σ = 1995084. Its totient is φ = 233472.

The previous prime is 744791. The next prime is 744811. The reversal of 744804 is 408447.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 324900 = 648^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is an unprimeable number.

744804 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (55419).

2⁷⁴⁴⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997542).

744804 is an abundant number, since it is smaller than the sum of its proper divisors (1250280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

744804 is a wasteful number, since it uses less digits than its factorization.

744804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 744804 is about 863.0202778614. The cubic root of 744804 is about 90.6457263732.

The spelling of 744804 in words is "seven hundred forty-four thousand, eight hundred four".